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My name is Ann [436]
4 years ago
6

The function f(x)=x^2 has been translated 9 units up and 4 units to the right to from the function g(x) which represents

Mathematics
1 answer:
leonid [27]4 years ago
4 0
For translations like this use the formula:
f(x) = (x - h)² + k

where h is the lateral movement/shifts on the x-axis and k is the vertical movement/shifts on the y-axis. 

Since g(x) is a movement to the right 4 units and up 9 units, your h is a positive 4 and k is a 9:

g(x) = (x - 4)² + 9

Here's a picture of your original graph f(x) and your translation g(x)

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What is the slope of the line represented by the equation y=- 1/2x + 1/4
Andreyy89

Answer:

-1/2x

Step-by-step explanation:

-1/2x represents the slope because it shows that the line is going down 1/2 every x. 1/4 would be where the line started or the y-intercept.

8 0
4 years ago
Find the area of the following circle.
Deffense [45]

Answer:

113.04

Step-by-step explanation:

I flipen love this but anyways so a=start with your formula which would be

A=\pi r^{2}

so then you just subsitute which then would be

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and you get

113.04

anyways i hope that helps and have a great day :)

6 0
3 years ago
Difference of Squares gives which complex factors for the expression x2 +3?
Andreas93 [3]

Step-by-step explanation:

Shortest way to solve this question is to find the factors of the given expression.

The given expression is (x² + 13).

Now we have to factorize it.

(x² + 13) = x² + (√13)²

            = x² + [-(i)²√(13)²]  [Since i = √(-1)]

            = x² - (i√13)²

            = (x - i√3)(x + i√3) [Since (a² - b²) = (a + b)(a - b)]-by-

5 0
3 years ago
−2x+5y=10<br> −3x+9y=6<br> ​ <br> −3x+9y=6<br> −2x+5y=10<br> ​
elena-14-01-66 [18.8K]

Answer:

−

3

+

9

=

6

−

2

+

5

=

1

0

6 0
3 years ago
Mel Needs to park his car for eight hours. Spikes parking place charges five dollars per hour for the first three hours and thre
Dima020 [189]

Answer:

  • Spike's Parking
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Step-by-step explanation:

After 3 hours, Spike charges 6 dollars per hour. For 3 hours, the charge is only $5×3 = $15 (which is $3 less than $6×3). So the rate after 3 hours can be modeled by ...

  s(h) = 6h -3

For 8 hours, s(8) = 6·8 -3 = 45 . . . . dollars

__

After 4 hours, Main Deck charges 8 dollars per hour. For 4 hours, the charge is only $18 (which is $14 less than $8×4). So the rate after 4 hours can be modeled by ...

  m(h) = 8h -14

For 8 hours, m(8) = 8·8 -14 = 50 . . . . dollars

__

For 8 hours, the $45 charge at Spike's is $5 less than the $50 charge at Main Deck.

6 0
3 years ago
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